Finite Group DatabasebetaFinite Group Databasebeta| order | 16256 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#22550687 |
| Fitting | C2×H(5,𝔽2)×C127 ⋊ C2 |
| Sylow | C127 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
2186 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16256, 19270);